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Finding the Fourth Proportional to 877.74, 1,314.90 and 511.77

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Solution

The fourth proportional to 877.74, 1,314.90 and 511.77 is: 766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.74 : 1,314.90 = 511.77 : x
  2. Step 2: Convert to fraction form
    877.74/1,314.90 = 511.77/x
  3. Step 3: Cross multiply
    877.74x = 1,314.90 × 511.77
  4. Step 4: Simplify right side
    877.74x = 672,926.37
  5. Step 5: Solve for x
    x = 672,926.37/877.74
  6. Step 6: Final answer
    x = 766.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.